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2137920 = 263517131
BaseRepresentation
bin1000001001111101000000
311000121200020
420021331000
51021403140
6113453440
724113001
oct10117500
94017606
102137920
111230284
12871280
1359b155
143d91a8
152c36d0
hex209f40

2137920 has 112 divisors (see below), whose sum is σ = 7242048. Its totient is φ = 532480.

The previous prime is 2137913. The next prime is 2137921. The reversal of 2137920 is 297312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16255 + ... + 16385.

22137920 is an apocalyptic number.

2137920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2137920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3621024).

2137920 is an abundant number, since it is smaller than the sum of its proper divisors (5104128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2137920 is a wasteful number, since it uses less digits than its factorization.

2137920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 2137920 is about 1462.1627816355. The cubic root of 2137920 is about 128.8241097827.

The spelling of 2137920 in words is "two million, one hundred thirty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 131 136 160 170 192 204 240 255 262 272 320 340 393 408 480 510 524 544 655 680 786 816 960 1020 1048 1088 1310 1360 1572 1632 1965 2040 2096 2227 2620 2720 3144 3264 3930 4080 4192 4454 5240 5440 6288 6681 7860 8160 8384 8908 10480 11135 12576 13362 15720 16320 17816 20960 22270 25152 26724 31440 33405 35632 41920 44540 53448 62880 66810 71264 89080 106896 125760 133620 142528 178160 213792 267240 356320 427584 534480 712640 1068960 2137920